Bayesian Optimal Design for Ordinary Differential Equation Models With Application in Biological Science
常微分方程模型的贝叶斯最优设计及其生物科学应用
Bayesian optimal design is considered for experiments where the response distribution depends on the solution to a system of nonlinear ordinary differential equations. The motivation is an experiment to estimate parameters in the equations governing the transport of amino acids through cell membranes in human placentas. Decision-theoretic Bayesian design of experiments for such nonlinear models is conceptually very attractive, allowing the formal incorporation of prior…